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Finding the Fourth Proportional to 2,392.98, 3,565.96 and 2,314.68

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Solution

The fourth proportional to 2,392.98, 3,565.96 and 2,314.68 is: 3,449.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.98 : 3,565.96 = 2,314.68 : x
  2. Step 2: Convert to fraction form
    2,392.98/3,565.96 = 2,314.68/x
  3. Step 3: Cross multiply
    2,392.98x = 3,565.96 × 2,314.68
  4. Step 4: Simplify right side
    2,392.98x = 8,254,056.29
  5. Step 5: Solve for x
    x = 8,254,056.29/2,392.98
  6. Step 6: Final answer
    x = 3,449.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.